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Finding the Fourth Proportional to 145,493.01, 200,764.04 and 81,829.44

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Solution

The fourth proportional to 145,493.01, 200,764.04 and 81,829.44 is: 112,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493.01 : 200,764.04 = 81,829.44 : x
  2. Step 2: Convert to fraction form
    145,493.01/200,764.04 = 81,829.44/x
  3. Step 3: Cross multiply
    145,493.01x = 200,764.04 × 81,829.44
  4. Step 4: Simplify right side
    145,493.01x = 16,428,408,556.19
  5. Step 5: Solve for x
    x = 16,428,408,556.19/145,493.01
  6. Step 6: Final answer
    x = 112,915.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.